A.80 is the answer to this question.
choosing a blue marble does not represent the complement event of choosing a red marble because 2/5 ≠ 4/5.
<u>Step-by-step explanation:</u>
There are 2 blue marbles, 1 red marble, and 2 purple marbles.
The total number of marbles ⇒ 2 blue + 1 red + 2 purple = 5 marbles.
<u>To find the probability of choosing a blue marble :</u>
P (blue) = No.of blue marbles / Total marbles
⇒ 2 / 5
<u>To find the complement event of choosing a red marble :</u>
- Complement of an Event is defined as all the outcomes that are NOT the event.
- So the Complement of an event is all the other outcomes (not the ones we want).
Complement of choosing red ⇒ P (not getting red marble)
P (not getting red marble) = No.of marbles other than red / Total marbles
⇒ 4 / 5
Therefore, P(blue) is not equal to P(not getting a red).
⇒ 2/5 ≠ 4/5
So, choosing a blue marble does not represent the complement event of choosing a red marble.
Answer:
-2
Step-by-step explanation:
Given that:
A = (3, 4) ; B = (7, 6)
In triangle ABCD, AB and BC are Perpendicular lines :
Slope AB = Rise / Run = (y2 - y1) / (x2 - x1)
y2 = 6 ; y1 = 4 ; x2 = 7 ; x1 = 3
Slope AB = (6 - 4) / (7 - 3) = 2 / 4 = 1 / 2
To obtain the slope of BC:
RECALL:
product of the slope of 2 Perpendicular lines = - 1
Slope AB * Slope BC = - 1
1 / 2 * slope BC = - 1
Slope BC = - 1 ÷ 1/2
Slope BC = - 1 * 2/1
Slope BC = - 2
HENCE, slope of BC = - 2
